Finite Group Databasebeta

← Group #28619

Character table — Group #28619

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444444444444444444444888888882444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1
χ911111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-11-1
χ1011111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111-11-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-11-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-11-1
χ1311111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111-1-11
χ1411111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-111-1
χ1511111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-111-1
χ1611111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11-1-11
χ17222222222222-2-2-2-222-2-222-2-2-2-200000000000000000000
χ18222222222222-2-2-2-2-2-222-2-222-2-200000000000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000
χ21222-2-2-2-222i2i−2i−2i2-22-2000000002i−2i0000000000002-22i−2i0000
χ22222-2-2-2-222i2i−2i−2i2-22-2000000002i−2i000000000000-22−2i2i0000
χ23222-2-2-2-222i2i−2i−2i-22-2200000000−2i2i000000002i−2i2-200000000
χ24222-2-2-2-222i2i−2i−2i-22-2200000000−2i2i00000000−2i2i-2200000000
χ25222-2-2-2-22−2i−2i2i2i2-22-200000000−2i2i0000000000002-2−2i2i0000
χ26222-2-2-2-22−2i−2i2i2i2-22-200000000−2i2i000000000000-222i−2i0000
χ27222-2-2-2-22−2i−2i2i2i-22-22000000002i−2i000000002i−2i-2200000000
χ28222-2-2-2-22−2i−2i2i2i-22-22000000002i−2i00000000−2i2i2-200000000
χ292-2-2-222-22000022-2-200002-22-2002i−2i2i−2i0000000000000000
χ302-2-2-222-22000022-2-200002-22-200−2i2i−2i2i0000000000000000
χ312-2-2-222-22000022-2-20000-22-22002i−2i−2i2i0000000000000000
χ322-2-2-222-22000022-2-20000-22-2200−2i2i2i−2i0000000000000000
χ332-2-2-222-220000-2-22200002-2-220000002-22-2000000000000
χ342-2-2-222-220000-2-22200002-2-22000000-22-22000000000000
χ352-2-2-222-220000-2-2220000-222-20000002-2-22000000000000
χ362-2-2-222-220000-2-2220000-222-2000000-222-2000000000000
χ3744-444-4-4-400000000004-400000000000000000000000000
χ3844-444-4-4-40000000000-4400000000000000000000000000
χ3944-4-4-444-4000000004i−4i0000000000000000000000000000
χ4044-4-4-444-400000000−4i4i0000000000000000000000000000
χ414-444-44-4-44-44-40000000000000000000000000000000000
χ424-444-44-4-4-44-440000000000000000000000000000000000
χ434-44-44-44-44i−4i−4i4i0000000000000000000000000000000000
χ444-44-44-44-4−4i4i4i−4i0000000000000000000000000000000000
χ454-4-44-4-44400004-4-44000000000000000000000000000000
χ464-4-44-4-4440000-444-4000000000000000000000000000000

Here i is the imaginary unit (i² = −1).